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Finding the Third Proportional to 59,509 and 81,600

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Solution

The third proportional to 59,509 and 81,600 is: 111,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,509 : 81,600 = 81,600 : x
  2. Step 2: Convert to fraction form
    59,509/81,600 = 81,600/x
  3. Step 3: Cross multiply
    59,509x = 81,600 × 81,600
  4. Step 4: Simplify right side
    59,509x = 6,658,560,000
  5. Step 5: Solve for x
    x = 6,658,560,000/59,509
  6. Step 6: Final answer
    x = 111,891.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.